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Math lesson plan Β· 4th grade (Year 5 in England) Β· 45 minutes

Subtract numbers with more than four digits

Addition and subtraction

CCSS 4.NBT.B.4England: Y5 Addition and subtraction

Objective and success criteria

Students will: Subtract numbers with more than four digits.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Subtract four-digit numbers in columns; Place value names up to hundred thousands

Leads to: Multi-step addition and subtraction problems with large numbers

Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).

Warm-up Β· 5 min

  • Quick retrieval from earlier learning (Subtract four-digit numbers in columns; Place value names up to hundred thousands). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 7557 βˆ’ 1059 = ? β†’ 6498Prompt: Work from the ones to the thousands.
  2. In 238β€―975, which place is the digit 3 in? (tens / thousands / ones / ten thousands) β†’ ten thousandsPrompt: The places in a group of three are hundreds, tens, ones β€” for thousands too.
  3. 5010 βˆ’ 2103 = ? β†’ 2907Prompt: The zeros mean you exchange across several columns.

Hook Β· 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Subtract numbers with more than four digits. Read the success criteria together.

I do: model it Β· 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: 872β€―157 βˆ’ 488β€―992 = ?
  • Step 1: ones: 7 βˆ’ 2 = 5
  • Step 2: tens: exchange, 15 βˆ’ 9 = 6
  • Step 3: hundreds: exchange, 10 βˆ’ 9 = 1
  • Step 4: thousands: exchange, 11 βˆ’ 8 = 3
  • Step 5: ten thousands: exchange, 16 βˆ’ 8 = 8
  • Step 6: hundred thousands: 7 βˆ’ 4 = 3
  • Step 7: 872β€―157 βˆ’ 488β€―992 = 383β€―165
  • Answer: 383165
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. 590β€―239 βˆ’ 324β€―739 = ? β†’ 265500Prompt: Start with the ones column.
  2. 200β€―000 βˆ’ 29β€―546 = ? β†’ 170454Prompt: All those zeros need exchanging. Try counting on instead.

You do: independent practice Β· 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket Β· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 500β€―000 βˆ’ 226β€―344 = ? β†’ 273656Prompt: All those zeros need exchanging. Try counting on instead.
  2. 182β€―035 βˆ’ 51β€―921 = ? β†’ 130114Prompt: Start with the ones column.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 βˆ’ 17 = 45).
  • Forgetting to add the regrouped (carried) ten.

Support and stretch

Support

  • Review first: Subtract four-digit numbers in columns.
  • Use concrete materials: base-ten blocks.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Multi-step addition and subtraction problems with large numbers.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-4.

Free lesson plan from eurekami.com/lesson-plan-builder

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Subtract numbers with more than four digits

Name

Date

Score/ 8

  1. Question 1

    50β€―000 βˆ’ 44β€―703 = ?

    Answer

  2. Question 2

    456β€―402 βˆ’ 44β€―572 = ?

    Answer

  3. Question 3

    300β€―000 βˆ’ 245β€―979 = ?

    Answer

  4. Question 4

    933β€―971 βˆ’ 886β€―460 = ?

    Answer

  5. Question 5

    200β€―000 βˆ’ 148β€―429 = ?

    Answer

  6. Question 6

    319β€―863 βˆ’ 240β€―145 = ?

    Answer

  7. Question 7

    300β€―000 βˆ’ 227β€―528 = ?

    Answer

  8. Question 8

    396β€―862 βˆ’ 353β€―692 = ?

    Answer

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Answer key: Subtract numbers with more than four digits

  1. 1. 5297

  2. 2. 411830

  3. 3. 54021

  4. 4. 47511

  5. 5. 51571

  6. 6. 79718

  7. 7. 72472

  8. 8. 43170